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The idea of Common Grace is that the grace of God is accessible and granted to all people (ie "common" to all people). This is different from "special" or "saving" grace in that special grace is extended only to the elect.

More clearly, it's the idea that there is grace available and inside everyone. It can be seen in such verses as:

9 “Which of you, if your son asks for bread, will give him a stone? 10 Or if he asks for a fish, will give him a snake?

This is common grace in that everyone (even pagans, idolaters, and abominations) still love their children and will try to take care of them. These parents extend grace even though they are not Christians.

However, even though this grace comes through these "evil" parents, it actually comes from God: